Inferring Network Controls from Topology Using the Chomp Database

Abstract

In this project we developed extensive new capabilities in the area of Topological Data Analysis (TDA) and its application to dynamical systems. The role of this work in the Complex Networks program is based on the fact that dynamics on networks is a difficult subject, and our combined expertise in dynamics, topology and statistics has been brought to bear on this problem. Among other things, we developed a set of new methods for fast computation of invariants from TDA, found new applications of TDA to time series datasets, made significant contributions to the integration of statistics and Topology, found when certain statistics are sufficient for shape characterization, and constructed a set of new invariants for multi-scale analysis of dynamical systems.

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Document Details

Document Type
Technical Report
Publication Date
Dec 03, 2015
Accession Number
AD1001838

Entities

People

  • John Harer
  • Konstantin Mischaikow
  • Sayan Mukherjee

Organizations

  • Duke University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Computational Science
  • Computations
  • Computer Programs
  • Data Analysis
  • Data Sets
  • Databases
  • Dimensionality Reduction
  • Dynamics
  • Electronic Mail
  • Information Science
  • Molecular Dynamics
  • Probability
  • Statistics
  • Stochastic Processes
  • Topology

Fields of Study

  • Computer science

Readers

  • Computational Modeling and Simulation
  • Computer Vision.
  • Systems Analysis and Design

Technology Areas

  • AI & ML